the aim of this paper is to minimize output phase noise for the pure signal synthesis in the frequency synthesizers. for this purpose, first, an exact mathematical model of phase locked loop (pll) based frequency synthesizer is described and analyzed. then, an exact closed-form formula in terms of synthesizer bandwidth and total output phase noise is extracted. based on this formula, the phase ...

We study many-body contributions to the effective interaction between fermions in a three-component Fermi mixture. We find that effective interactions induced by the third component can lead to a phase diagram different from that predicted if interactions with the third component are neglected. As a result, in a confining potential a superfluid shell structure can arise even for equal populatio...

Active Magnetic Bearings (AMBs) have been widely used in industry, aeronautics and astronautics for some significant advantages. The sensor is one of the important parts of the electromagnetic bearing system, the features of the sensor can affect the performance of the whole system. The nonlinear electromagnetic force may cause the considerable oscillations of the rotor with some parametric exc...